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Finding the Fourth Proportional to 581.42, 802.36 and 357.48

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Solution

The fourth proportional to 581.42, 802.36 and 357.48 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 802.36 = 357.48 : x
  2. Step 2: Convert to fraction form
    581.42/802.36 = 357.48/x
  3. Step 3: Cross multiply
    581.42x = 802.36 × 357.48
  4. Step 4: Simplify right side
    581.42x = 286,827.65
  5. Step 5: Solve for x
    x = 286,827.65/581.42
  6. Step 6: Final answer
    x = 493.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.